For an $m\times n$ matrix $A$, $A$ is a subspace of $\mathbb R^M$. Why is it $\mathbb R^M$ rather than $\mathbb R^N$?
I would think the column space would be a subspace of its number of columns rather than its number of rows.
2026-04-12 10:38:30.1775990310
Why is a column space a subspace of$\mathbb R^{(number\ \ of\ \ rows)}$?
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